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Finding the Fourth Proportional to 5,612, 7,744.58 and 3,375.16

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Solution

The fourth proportional to 5,612, 7,744.58 and 3,375.16 is: 4,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612 : 7,744.58 = 3,375.16 : x
  2. Step 2: Convert to fraction form
    5,612/7,744.58 = 3,375.16/x
  3. Step 3: Cross multiply
    5,612x = 7,744.58 × 3,375.16
  4. Step 4: Simplify right side
    5,612x = 26,139,196.63
  5. Step 5: Solve for x
    x = 26,139,196.63/5,612
  6. Step 6: Final answer
    x = 4,657.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.